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Chapter 0: Problem 31

Find each product. $$(x+3)(x-3)$$

Short Answer

Expert verified
The product of the binomials is \(x^2 - 9\).

Step by step solution

01

Identify the pattern

Realize that \((x+3)(x-3)\) fits the form \((a + b)(a - b)\), where \(a = x\) and \(b = 3\).
02

Apply the difference of squares pattern

Use the pattern to simplify the expression. Therefore, \((a + b)(a - b)\) equals \(a^2 - b^2\). Substituting for values of \(a\) and \(b\) we get: \(x^2 - 3^2\).
03

Simplify the result

Perform the calculation in the expression obtained to get a final simplified answer, which will be: \(x^2 - 9\).

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